References
- Abrahamson , I. G. 1964 . “Orthant Probabilities for the Quadrivariate Normal Distribution,” . Annals of Mathematical Statistics , 35 : 1685 – 1703 .
- Berger , R. L. 1989 . “Uniformly More Powerful Tests for Hypotheses Concerning Linear Inequalities and Normal Means,” . Journal of the American Statistical Association , 84 : 192 – 199 .
- Berger , R. L. and Sinclair , D. 1984 . “Testing Hypotheses Concerning Unions of Linear Subpaces,” . Journal of the American Statistical Association , 79 : 158 – 163 .
- Bohrer , R. and Francis , G. K. 1972 . “Sharp One-Sided Confidence Bounds for Linear Regression Over an Interval,” . Biometrika , 59 : 99 – 107 .
- Cohen , A. and Sackrowitz , H. B. 1993 . “Inadmissibility of Studentized Tests for Normal Order-Restricted Models,” . The Annals of Statistics , 21 : 746 – 752 .
- Cox , D. R. and Hinkley , D. 1974 . Theoretical Statistics , London : Chapman and Hall .
- David , F. N. 1938 . Tables of the Correlation Coefficient , Cambridge , , UK : Cambridge University Press .
- Farebrother , R. W. 1986 . “Testing Linear Inequality Constraints in the Standard Linear Model,” . Communications in Statistics, Part A–Theory and Methods , 15 : 7 – 31 .
- Gourieroux , C. , Holly , A. and Monfort , A. 1982 . “Likelihood Ratio Test, Wald Test, and Kuhn-Tucker Test in Linear Model With Inequality Constraints on the Regression Parameters,” . Econometrica , 50 : 63 – 79 .
- Gutmann , S. 1987 . “Tests Uniformly More Powerful Than Uniformly Most Powerful Monotone Tests,” . Journal of Statistical Planning and Inference , 17 : 279 – 292 .
- Hillier , G. H. 1986 . “Joint Tests for Zero Restrictions on Nonnegative Regression Coefficients,” . Biometrika , 73 : 657 – 669 .
- Hudson , D. J. 1969 . “Least Squares Fitting of a Polynomial Constrained to be Either Nonnegative, Nondecreasing, or Convex,” . Journal of the Royal Statistical Society , 31 : 113 – 118 . Ser. B
- Lee , C. I. C. 1984 . “Truncated Bayesian Confidence Region and Its Corresponding Simultaneous Confidence Intervals in Restricted Normal Models,” , Memorial University of Newfoundland, Dept. of Mathematics and Statistics . technical report
- Liew , C. K. 1976 . “Inequality Constrained Least Squares Estimation,” . Journal of the American Statistical Association , 71 : 746 – 751 .
- Raubertas , R. F. , Lee , C. I. C. and Nordheim , E. V. 1986 . “Hypothesis Tests for Normal Means Constrained by Linear Inequalities,” . Communications in Statistics, Part A–Theory and Methods , 15 : 2809 – 2833 .
- Rawlings , J. O. 1988 . Applied Regression Analysis , Pacific Grove , CA : Wadsworth & Brooks/Cole .
- Robertson , T. and Wegman , E. J. 1978 . “Likelihood Ratio Tests for Order Restrictions in Exponential Families,” . The Annals of Statistics , 6 : 485 – 505 .
- Robertson , T. , Wright , F. T. and Dykstra , R. L. 1988 . Order Restricted Statistical Inference , London : John Wiley .
- Schoenfeld , D. 1986 . “Confidence Intervals for Normal Means Under Order Restrictions, With Applications to Dose-Response Curves, Toxicology Experiments, and Low-Dose Extrapolation,” . Journal of the American Statistical Association , 81 : 186 – 195 .
- Snedecor , G. W. and Cochran , W. G. 1978 . Statistical Methods, , 6th ed. , Ames , IA : The Iowa State University Press .
- Sun , H.-J. 1988a . “A General Reduction Method for n-Variate Normal Orthant Probabilities,” . Communication in Statistics, Part A–Theory and Methods , 17 : 3913 – 3921 .
- Sun , H.-J. 1988b . “A FORTRAN Subroutine for Computing Normal Orthant Probabilities,” . Communications in Statistics, Part C–Simulations , 17 : 1097 – 1111 .
- Warrack , G. and Robertson , T. 1984 . “A Likelihood Ratio Test Regarding Two Nested but Oblique Order-Restricted Hypotheses,” . Journal of the American Statistical Association , 79 : 881 – 886 .
- Williams , D. A. 1977 . “Some Inference Procedures for Monotonically Ordered Normal Means,” . Biometrika , 64 : 9 – 15 .
- Wolak , F. A. 1987 . “Testing Inequality Constraints for Multiple Inequality and Equality Constraints in the Linear Regression Model,” . Journal of the American Statistical Association , 82 : 783 – 793 .